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having a series of numbers how do you determine which geometric figure (triangle, rectangle, square, pentagon, hexagon) can be drawn?

First example
if I have these numbers 4, 34, 64 I can make a triangle

Second example
if I have these numbers 15, 30, 45, 60, 75, 90 I can make a hexagon


third example
how to determine a geometric figure by searching for it in a number archive in an xbrowse?



the drawing was created with another program, a pentagon and the numbers were searched according to the "cadence" function number 4